| Issue |
ESAIM: Proc.
Volume 35, March 2012
Congrès National de Mathématiques Appliquées et Industrielles
|
|
|---|---|---|
| Page(s) | 216 - 221 | |
| DOI | https://doi.org/10.1051/proc/201235017 | |
| Published online | 06 April 2012 | |
A matrix-based numerical method for the simulation of the two-dimensional sine-Gordon equation*,, **
University of the Basque Country, Department of Applied
Mathematics, Plaza de La Casilla
3, 48012
Bilbao
( Spain )
e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Abstract
This paper describes a numerical method for the two-dimensional sine-Gordon equation over a rectangular domain using differentiation matrices, in the theoretical frame of matrix differential equations.
Résumé
Cette courte note décrit une méthode numérique pour l’équation de sine-Gordon bidimensionnelle sur un domaine rectangulaire en utilisant des matrices de différenciation, dans le cadre théorique des équations différentielles matricielles.
This work was supported by MEC (Spain), with the project MTM2007-62186, and by the Basque Government, with the project IT-305-07.
I want to thank Fernando Vadillo for his ongoing collaboration on this research area.
© EDP Sciences, SMAI 2012
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